Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of nine months with a sample standard deviation of two months. Assume that the underlying population distribution is normal.
Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of nine months with a sample standard deviation of two months. Assume that the underlying population distribution is normal.
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Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of nine months with a sample standard deviation of two months. Assume that the underlying population distribution is normal.
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
Transcribed Image Text:## Part (e)
**Construct a 99% confidence interval for the population mean length of time using training wheels.**
### (i) State the confidence interval.
(Round your answers to two decimal places.)
( _______ , _______ )
### (ii) Sketch the graph.
(Round your answers to two decimal places. Enter your α/2 to three decimal places.)
- The graph shown is a bell-shaped curve representing a normal distribution.
- The central region is shaded with "CL =" indicating the confidence level, which is 99% for this problem.
- The tails of the distribution have sections marked as "α/2 =".
- The horizontal axis shows a point labeled as \(\bar{x}\), representing the sample mean.
- There are three unlabeled tick marks on the axis, presumably for indicating the bounds of the confidence interval and the sample mean.
### (iii) Calculate the error bound.
(Round your answer to two decimal places.)
_______
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